Solve 4d^2-5 - ScanMath

Evaluate

4 d^{2} - 5

To find the roots of the expression,set the expression equal to 0

4 d^{2} - 5 = 0

Move the constant to the right-hand side and change its sign

4 d^{2} = 0 + 5

Removing 0 doesn't change the value,so remove it from the expression

4 d^{2} = 5

Divide both sides

\frac{4 d ^{2}}{4} = \frac{5}{4}

Divide the numbers

d^{2} = \frac{5}{4}

Take the root of both sides of the equation and remember to use both positive and negative roots

d = \pm \frac{5}{4}

Simplify the expression

More Steps

d = \pm \frac{5}{2}

Separate the equation into 2 possible cases

d = \frac{5}{2} d = - \frac{5}{2}

Solution

d_{1} = - \frac{5}{2}, d_{2} = \frac{5}{2}

Alternative Form

d_{1} \approx - 1.118034, d_{2} \approx 1.118034

Find the roots